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Finding the Fourth Proportional to 13,696, 18,939.36 and 13,077.16

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Solution

The fourth proportional to 13,696, 18,939.36 and 13,077.16 is: 18,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696 : 18,939.36 = 13,077.16 : x
  2. Step 2: Convert to fraction form
    13,696/18,939.36 = 13,077.16/x
  3. Step 3: Cross multiply
    13,696x = 18,939.36 × 13,077.16
  4. Step 4: Simplify right side
    13,696x = 247,673,041.02
  5. Step 5: Solve for x
    x = 247,673,041.02/13,696
  6. Step 6: Final answer
    x = 18,083.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.